mathematics - foundations of calculus

... idea of functional identities from specific cases to a defining property of an unknown function. The use of “unknown functions” is of fundamental importance in calculus, and other branches of mathematics ... maximum and extension of finite summation. The proof of the Extreme Value Theorem 4.4 below uses a hyperfinite maximum, while the proof of the Fundamental Theorem of Inte...

Ngày tải lên: 27/03/2014, 11:49

. the work of integral calculus is to study changing motion in a finite space. It is my opinion that it is hardly necessary to show further the uses of differen- tial calculus and analysis of the infinite,. the founda- tions of differential calculus, I have presented the method for differentiating every kind of function, for finding not only differentials of the first order, but also those of higher. theo...

Ngày tải lên: 31/03/2014, 15:39

... __init__.pyc byte-compiling build/bdist.macosx-10.3-fat/egg/rsreader/app.py to app.pyc creating build/bdist.macosx-10.3-fat/egg/EGG-INFO copying src/RSReader.egg-info/PKG-INFO -& gt; build/bdist.macosx-10.3-fat/egg/ ➥ EGG-INFO copying ... build/bdist.macosx-10.3-fat/egg/ ➥ EGG-INFO copying src/RSReader.egg-info/SOURCES.txt -& gt; build/bdist.macosx-10.3-fat/egg/ ➥ EGG-INFO copying src/R...

Ngày tải lên: 21/08/2012, 09:25

... version ISBN-13: 97 8-1 -5 905 9-8 2 8-3 ISBN-10: 1-5 905 9-8 2 8-8 9 781590 598283 5 3 9 9 9 Build AJAX Applications in ASP.NET ■ CHAPTER 3 The Microsoft AJAX Library: Making Client-Side JavaScript Easier . ... apps. Microsoft, for its part, introduced the ASP.NET AJAX framework, which is a comprehensive package of technologies addressing both client-side and serv- er-side...

Ngày tải lên: 21/08/2012, 09:26

... the future is now. Robert Pickering Foundations of F# Pickering cyan MaGenTa yellOW Black PanTOne 123 c ISBN-13: 97 8-1 -5 905 9-7 5 7-6 ISBN-10: 1-5 905 9-7 5 7-5 9 781590 597576 9 0 0 0 0 Shelve ... it: #light type DrinkAmount = | Coffee of int | Tea of int | Water of int with override x.ToString() = match x with | Coffee x -& gt; Printf.sprintf "Coffe...

Ngày tải lên: 21/08/2012, 09:28

... methods of a JPanel, like the add method. In the class’s constructor we instantiate two JButtons and give them labels in their con- structors. These labels will display on the front of the buttons. ... In the main method, we create an instance of the JPanel class, and we add it to the JFrame. (Incidentally, I do not approve of the “trick” technique of instantiating your own class i...

Ngày tải lên: 21/08/2012, 09:30

... Test-D riven Development and Impostors Test-driven development (TDD) is the practice of writing tests before writing the code they test. Imposters (a.k.a. mock objects) provide a powerful unit-testing ... checks to compensate for antici- pated change. Testing is an integral part of agile development from the very start, and it is pursued with ferocious rigor. You need software tools to fa...

Ngày tải lên: 05/10/2013, 10:20

... University of Cambridge, becoming an expert in the application of automated proof to real-world problems, participating in the team that for- mally verified the correctness of aspects of the Intel ... the current generation of F# tools well. Many computer profession- als first encounter functional programming through a short section of the undergraduate curriculum and often leave...

Ngày tải lên: 05/10/2013, 10:20

... together with the reading-data-from-SQL-database and writing-results-to-MATLAB-data-file the F# source code is 100 lines long (including comments). Again, I was astonished by the run- ning time; the ... ( http:// research.microsoft.com/fsharp/manual/namespaces.html ) is the place to get the details. Then you’ll dive into how to use F# for the bread-and-butter problems of the working pro- gr...

Ngày tải lên: 05/10/2013, 10:20

Ngày tải lên: 05/10/2013, 10:20